What game settings were you using? Can you provide a link to the write up after you post it.
the save files should be available in the hall of fame next update (around the 15th).
prince, standard, standard, pangea, egypt, hot, wet, low sea level, augustus, catherine, genghis, montezuma, napolean, suleiman, washington
since i was playing with egypt i went with a four city start to abuse legalism.
i built something like scout, scout, monument, granary, settler, settler
i built monuments then libraries in all the other cities
i got an early culture ruin, and i took tradition, liberty, settler, worker, aristocracy for four burial tombs to get me out of unhappiness
around turn 80 i was one turn from completing both theology and civil service, i signed four classical era RAs with civs i thought unlikely to declare on me (though one of them did), and after finished i completed theology and civil service and bulbed education with the great library. at this point built universities and filled with scientists for huge tech boost, saving all scientists for bulbing.
the capital built HS for engineer for porcelain tower, used that scientist to bulb astronomy, and built the oracle to get rationalism before the classical era. those three RAs were enough to get me near completion of chemistry.
i used the inevitable wars declared against me to level up some chariot archers to march, then knighted them and used them to conquer three of my neighbor's cities.
i signed 3 more RAs around turn 119 that got late renaissance techs,
then 7 starting turn 149 to finish off the tech tree. with none of the last 7 broken, i had enough extra scientists to get the tech for nuclear plants too.
that's all the writeup i'm going to provide; the war academy's research agreements article will contain the basic path with tech tree pictures that should help illuminate how to optimize their results.